Graph the proportional relationship represented by this equation: y = 4x.
A. The graph passes through the origin and has a steep slope.
B. The graph is a horizontal line above the x-axis.
C. The graph is a vertical line.
D. The graph has a negative slope.
The correct answer is A. The graph passes through the origin and has a steep slope.
Explanation: The equation ( y = 4x ) represents a linear relationship where the slope is 4. This means for every unit increase in ( x ), ( y ) increases by 4. The graph starts at the origin (0,0) because when ( x = 0 ), ( y ) is also 0. Since the slope is positive and fairly steep, the line will rise quickly as it moves to the right. If you need further assistance with graphing or understanding slopes, feel free to ask!